A Bryce and Cossey type theorem in a class of locally finite groups (Q2730745)
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scientific article; zbMATH DE number 1624940
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Bryce and Cossey type theorem in a class of locally finite groups |
scientific article; zbMATH DE number 1624940 |
Statements
A Bryce and Cossey type theorem in a class of locally finite groups (English)
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28 February 2002
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saturated Fitting formations
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radical locally finite groups
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minimal condition on \(p\)-groups
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generalized nilpotent groups
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normal closures
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0.93503845
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0.9064975
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0.8963531
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0.89186174
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0.88882226
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0.8879252
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The authors characterize the subgroup-closed saturated Fitting formations of radical locally finite groups satisfying the minimal condition on \(p\)-groups for every prime \(p\). They also continue the study of the following class of generalized nilpotent groups: the class of all radical locally finite groups satisfying the minimal condition on \(p\)-groups for every prime \(p\) in which every proper subgroup has a proper normal closure.
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